In this Section, we will analysis a real data set using the BFWD \((\alpha , \beta , p, q)\)  and compare it with the other fitted distributions such as flexible Weibull extension distribution (FWED), Weibull distribution (WD), Modified Weibull distribution (MWD), Reduced Additive Weibull distribution (RAWD) and Extended Weibull distribution (EWD) by using some criteria statistical such as K–S statistics ( Kolmogorov Smirnov), Akaike information criterion \(AIC\)  and Akaike Information criterion with correction \(AICC\) , see [1]}. Moreover, we use Bayesian information criterion \(BIC\) , see [2]}.
